Least Common Multiple of 519/878, 580/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 519/878, 580/143 quickly i.e. 301020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 519/878, 580/143 is 301020.

LCM(519/878, 580/143) = 301020

LCM of 519/878, 580/143

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 519/878,580/143

Given numbers are 519/878,580/143

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 519,580

Least Common Multiple of Numerators i.e. LCM of 519,580 is 301020.

GCF of Denominators means GCF of 878,143 as per the given fractions.

GCF of 878,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 519,580

LCM of Fractions 519/878,580/143 is 301020

Given numbers has no common factors except 1. So, there LCM is their product i.e 301020

Least Common Multiple of 519,580 with GCF Formula

Least Common Multiple of 519,580 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 519,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,580) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(519,580) x common factors =1 x 1 = 1

LCM(519,580) = ( 519 × 580 ) / 1

LCM(519,580) = 301020 / 1

LCM(519,580) = 301020


Lets's calculate GCF of 878,143

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301020/1

Therefore the LCM of Fractions 519/878,580/143 is 301020

Greatest Common Factor of 878,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,143 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 878,143 . The biggest common factor number is the GCF number.
So the greatest common factor 878,143 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 519/878, 580/143

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 519/878, 580/143?

Answer: LCM of Numerators as per given numbers 519/878, 580/143 is

LCM of Numerators i.e. for 519,580 is 301020

GCF of denominators i.e. for 878,143 is 1.

Thus, LCM of Fractions is 301020.Finally, LCM of Fractions for 519/878, 580/143 is 301020.